REVIEW Unit 4: Solving Quadratics

Which is the best/quickest method for solving

 $10x^2-12x=0$  

• Completing the square

• Factoring

• Quadratic Formula

• Square Root

Which is the best/quickest method for solving

 $x^2-12x=3$  

• Completing the square

• Factoring

• Quadratic Formula

• Square Root

Which is the best/quickest method for solving

 $2x^2-11x+3=0$  

• Completing the square

• Factoring

• Quadratic Formula

• Square Root

Which is the best/quickest method for solving

 $\left(x+1\right)^2-3=33$  

• Completing the square

• Factoring

• Quadratic Formula

• Square Root

What is the first step to solving the quadratic given?

 $3\left(x+2\right)^2-1=47$  

• divide by 3 to both sides

• subtract 2 to both sides

• add 1 to both sides

• subtract 1 from both sides

What is the first step to solving the quadratic given?

 $5\left(x-2\right)^2+8=133$  

• divide by 5 to both sides

• add 2 to both sides

• add 8 to both sides

• subtract 8 from both sides

What term must be added to both sides of the equation in order to complete the square?

 $x^2+\frac{7}{3}x=5$  

•  $\left(\frac{7}{3}\right)^2=\left(\frac{49}{9}\right)$  

•  $\left(\frac{7}{2}\right)^2=\frac{49}{4}$  

•  $\left(\frac{7}{3}\cdot\frac{1}{2}\right)^2=\left(\frac{49}{36}\right)$  

•  $\left(\frac{7}{3}\right)\cdot2=\frac{14}{3}$  

What term must be added to both sides of the equation in order to complete the square?

 $x^2+\frac{8}{5}x=1$  

•  $\left(\frac{8}{5}\right)^2=\left(\frac{64}{25}\right)$  

•  $\left(\frac{8}{2}\right)^2=\frac{64}{4}=16$  

•  $\left(\frac{8}{5}\cdot\frac{1}{2}\right)^2=\frac{64}{100}=\frac{16}{25}$  

•  $\left(\frac{8}{5}\right)\cdot2=\frac{16}{5}$  

The following equations are equivalent. For what values of x is y =0?

 $y=\ x^2+8x+12\ and\ \ y=\left(x+6\right)\left(x+2\right)$  

•  $8\ \&\ 12$  

•  $-8\ \&\ -12$  

•  $6\ \&\ 2$  

•  $-6\ \&\ -2$  

The following equations are equivalent. For what values of x is y =0?

 $y=\left(x-6\right)^2-16\ \ and\ \ y=\left(x-10\right)\left(x-2\right)$  

•  $6\ \&\ 16$  

•  $-6\ \&\ -16$  

•  $10\ \&\ 2$  

•  $-10\ \&\ -2$